Volume and Surface Area Questions Practice Question and Answer

Q:

Three solid metallic sphere whose radii are 3cm, x cm and 18cm respectively, are melted and recast into a single solid sphere of diameter 38cm. Then find the total surface area of the sphere with radius x cm?

1151 0

  • 1
    300 π
    Correct
    Wrong
  • 2
    400 π
    Correct
    Wrong
  • 3
    100 π
    Correct
    Wrong
  • 4
    200 π
    Correct
    Wrong
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Answer : 2. "400 π "

Q:

A right circular cone of largest volume is cut out from a solid wooden hemisphere. The remaining material is what percentage of the volume of the original hemisphere?

1147 0

  • 1
    50 %
    Correct
    Wrong
  • 2
    $$ {33{1\over3}}{ \%}$$
    Correct
    Wrong
  • 3
    75 %
    Correct
    Wrong
  • 4
    $$ {66{2\over3}}{ \%}$$
    Correct
    Wrong
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Answer : 1. "50 %"

Q:

The radii of three concentric circles are in the ratio of 4 : 5 : 7. What is the ratio of the area between the two inner circles to that between the two outer circles?

1147 0

  • 1
    4 : 7
    Correct
    Wrong
  • 2
    3 : 8
    Correct
    Wrong
  • 3
    4 : 5
    Correct
    Wrong
  • 4
    5 : 9
    Correct
    Wrong
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Answer : 2. "3 : 8"

Q:

What is the area of an equilateral triangle having altitude equal to $$5\sqrt{3}$$cm.

1143 0

  • 1
    $$25\sqrt{3}$$
    Correct
    Wrong
  • 2
    $$45\sqrt{3}$$
    Correct
    Wrong
  • 3
    45
    Correct
    Wrong
  • 4
    40
    Correct
    Wrong
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Answer : 1. "$$25\sqrt{3}$$"

Q:

What is the area ( in cm2 ) of the circumcircle of a triangle whose sides are 6 cm , 8 cm and 10 cm respectively ? 

1133 0

  • 1
    $$ {275\over 7}$$
    Correct
    Wrong
  • 2
    $$ {2200\over 7}$$
    Correct
    Wrong
  • 3
    $$ {550\over 7}$$
    Correct
    Wrong
  • 4
    $$ {1100\over 7}$$
    Correct
    Wrong
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Answer : 3. "$$ {550\over 7}$$"

Q:

The perimeter of a circle is equal to the square perimeter. What will be the ratio of their areas?

1130 0

  • 1
    4 : 1
    Correct
    Wrong
  • 2
    11 : 7
    Correct
    Wrong
  • 3
    14:11
    Correct
    Wrong
  • 4
    11:14
    Correct
    Wrong
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Answer : 3. "14:11"

Q:

In a circle, difference between the circumference and radius is 37 cm. Find the area (in cm²) of the circle?

1115 0

  • 1
    616
    Correct
    Wrong
  • 2
    154
    Correct
    Wrong
  • 3
    308
    Correct
    Wrong
  • 4
    77
    Correct
    Wrong
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Answer : 2. "154 "

Q:

The radius of a cone is 20 cm and height is 21 cm, the total surface area of the cone is in square cm:

1102 0

  • 1
    3080
    Correct
    Wrong
  • 2
    3160
    Correct
    Wrong
  • 3
    2920
    Correct
    Wrong
  • 4
    3240
    Correct
    Wrong
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Answer : 1. "3080"
Explanation :

$$ {πr^2+πrl}$$


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